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3287997823 = 111915979851
BaseRepresentation
bin1100001111111010…
…1101110101111111
322111010221121002011
43003332231311333
523213211412243
61302133112051
7144323343325
oct30376556577
98433847064
103287997823
111437a97480
12779188627
1340526c356
14232973d15
151439d189d
hexc3fadd7f

3287997823 has 16 divisors (see below), whose sum is σ = 3778439040. Its totient is φ = 2829708000.

The previous prime is 3287997809. The next prime is 3287997841.

3287997823 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-3287997823 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3287997883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328848 + ... + 338698.

It is an arithmetic number, because the mean of its divisors is an integer number (236152440).

Almost surely, 23287997823 is an apocalyptic number.

3287997823 is a deficient number, since it is larger than the sum of its proper divisors (490441217).

3287997823 is a wasteful number, since it uses less digits than its factorization.

3287997823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11478.

The product of its digits is 9144576, while the sum is 58.

The square root of 3287997823 is about 57341.0657644240. The cubic root of 3287997823 is about 1486.9984201402.

The spelling of 3287997823 in words is "three billion, two hundred eighty-seven million, nine hundred ninety-seven thousand, eight hundred twenty-three".

Divisors: 1 11 19 209 1597 9851 17567 30343 108361 187169 333773 2058859 15732047 173052517 298908893 3287997823